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730682119872 = 2635298391931
BaseRepresentation
bin10101010001000000000…
…11000101011011000000
32120212000111022120200000
422220200003011123000
543432414110313442
61315400513400000
7103534661354025
oct12504003053300
92525014276600
10730682119872
1126197600a461
12b973bb69000
1353b97c50b63
142751819154c
1514017a20d4c
hexaa200c56c0

730682119872 has 336 divisors, whose sum is σ = 2250674899200. Its totient is φ = 234760135680.

The previous prime is 730682119859. The next prime is 730682119897. The reversal of 730682119872 is 278911286037.

It is a happy number.

730682119872 is a `hidden beast` number, since 7 + 306 + 82 + 1 + 198 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 378394747 + ... + 378396677.

It is an arithmetic number, because the mean of its divisors is an integer number (6698437200).

Almost surely, 2730682119872 is an apocalyptic number.

730682119872 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 730682119872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1125337449600).

730682119872 is an abundant number, since it is smaller than the sum of its proper divisors (1519992779328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

730682119872 is a wasteful number, since it uses less digits than its factorization.

730682119872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2826 (or 2804 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 730682119872 in words is "seven hundred thirty billion, six hundred eighty-two million, one hundred nineteen thousand, eight hundred seventy-two".